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Simplifying 6(4x + -9) + -7 = 6(6 + -4) + 53 Reorder the terms: 6(-9 + 4x) + -7 = 6(6 + -4) + 53 (-9 * 6 + 4x * 6) + -7 = 6(6 + -4) + 53 (-54 + 24x) + -7 = 6(6 + -4) + 53 Reorder the terms: -54 + -7 + 24x = 6(6 + -4) + 53 Combine like terms: -54 + -7 = -61 -61 + 24x = 6(6 + -4) + 53 Combine like terms: 6 + -4 = 2 -61 + 24x = 6(2) + 53 Multiply 6 * 2 -61 + 24x = 12 + 53 Combine like terms: 12 + 53 = 65 -61 + 24x = 65 Solving -61 + 24x = 65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + 24x = 65 + 61 Combine like terms: -61 + 61 = 0 0 + 24x = 65 + 61 24x = 65 + 61 Combine like terms: 65 + 61 = 126 24x = 126 Divide each side by '24'. x = 5.25 Simplifying x = 5.25
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